Area of Core given EMF Induced in Primary Winding Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density)
Acore = E1/(4.44*f*N1*Bmax)
This formula uses 5 Variables
Variables Used
Area of Core - (Measured in Square Meter) - Area of Core is defined as the space occupied by the core of a transformer in 2 dimensional space.
EMF Induced in Primary - (Measured in Volt) - EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil.
Supply Frequency - (Measured in Hertz) - Supply Frequency means Induction motors are designed for a specific voltage per frequency ratio (V/Hz). The voltage is called the supply voltage and the frequency is called the 'Supply Frequency'.
Number of Turns in Primary - The Number of Turns in Primary Winding is the number of turns primary winding is the winding of a transformer.
Maximum Flux Density - (Measured in Tesla) - Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.
STEP 1: Convert Input(s) to Base Unit
EMF Induced in Primary: 13.2 Volt --> 13.2 Volt No Conversion Required
Supply Frequency: 500 Hertz --> 500 Hertz No Conversion Required
Number of Turns in Primary: 20 --> No Conversion Required
Maximum Flux Density: 0.0012 Tesla --> 0.0012 Tesla No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Acore = E1/(4.44*f*N1*Bmax) --> 13.2/(4.44*500*20*0.0012)
Evaluating ... ...
Acore = 0.247747747747748
STEP 3: Convert Result to Output's Unit
0.247747747747748 Square Meter -->2477.47747747748 Square Centimeter (Check conversion here)
FINAL ANSWER
2477.47747747748 2477.477 Square Centimeter <-- Area of Core
(Calculation completed in 00.004 seconds)

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19 Transformer Design Calculators

Eddy Current Loss
Go Eddy Current Loss = Eddy Current Coefficient*Maximum Flux Density^2*Supply Frequency^2*Lamination Thickness^2*Volume of Core
Hysteresis Loss
Go Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core
Area of Core given EMF Induced in Secondary Winding
Go Area of Core = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)
Number of Turns in Secondary Winding
Go Number of Turns in Secondary = EMF Induced in Secondary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
Number of Turns in Primary Winding
Go Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
Area of Core given EMF Induced in Primary Winding
Go Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density)
Percentage Regulation of Transformer
Go Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100
Maximum Flux in Core using Secondary Winding
Go Maximum Core Flux = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary)
Maximum Flux in Core using Primary Winding
Go Maximum Core Flux = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary)
Secondary Winding Resistance given Impedance of Secondary Winding
Go Resistance of Secondary = sqrt(Impedance of Secondary^2-Secondary Leakage Reactance^2)
Primary Winding Resistance given Impedance of Primary Winding
Go Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)
EMF Induced in Primary Winding given Input Voltage
Go EMF Induced in Primary = Primary Voltage-Primary Current*Impedance of Primary
Utilisation Factor of Transformer Core
Go Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area
Stacking Factor of Transformer
Go Stacking Factor of Transformer = Net Cross Sectional Area/Gross Cross Sectional Area
Self-Induced EMF in Secondary Side
Go EMF Induced in Secondary = Secondary Leakage Reactance*Secondary Current
Self-Induced EMF in Primary Side
Go Self Induced EMF in Primary = Primary Leakage Reactance*Primary Current
Percentage All Day Efficiency of Transformer
Go All Day Efficiency = ((Output Energy)/(Input Energy))*100
Maximum Core Flux
Go Maximum Core Flux = Maximum Flux Density*Area of Core
Transformer Iron loss
Go Iron Losses = Eddy Current Loss+Hysteresis Loss

8 Mechanical Specifications Calculators

Area of Core given EMF Induced in Secondary Winding
Go Area of Core = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)
Number of Turns in Secondary Winding
Go Number of Turns in Secondary = EMF Induced in Secondary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
Number of Turns in Primary Winding
Go Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
Area of Core given EMF Induced in Primary Winding
Go Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density)
Stacking Factor of Transformer
Go Stacking Factor of Transformer = Net Cross Sectional Area/Gross Cross Sectional Area
Number of Turns in Secondary Winding given Transformation Ratio
Go Number of Turns in Secondary = Number of Turns in Primary*Transformation Ratio
Number of Turns in Primary Winding given Transformation Ratio
Go Number of Turns in Primary = Number of Turns in Secondary/Transformation Ratio
Specific Weight of Transformer
Go Specific Weight = Weight/KVA Rating

Area of Core given EMF Induced in Primary Winding Formula

Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density)
Acore = E1/(4.44*f*N1*Bmax)

What is induced EMF?

Alternating flux gets linked with the primary winding, and because of the phenomenon of mutual induction, an EMF gets induced in the primary winding. The magnitude of this induced EMF can be found by using the following EMF equation of the transformer.

How to Calculate Area of Core given EMF Induced in Primary Winding?

Area of Core given EMF Induced in Primary Winding calculator uses Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density) to calculate the Area of Core, Area of Core given EMF Induced in Primary Winding formula is defined as the amount of two-dimensional space taken up by an object. The magnitude of this induced emf can be found by using the following EMF equation of the transformer. Area of Core is denoted by Acore symbol.

How to calculate Area of Core given EMF Induced in Primary Winding using this online calculator? To use this online calculator for Area of Core given EMF Induced in Primary Winding, enter EMF Induced in Primary (E1), Supply Frequency (f), Number of Turns in Primary (N1) & Maximum Flux Density (Bmax) and hit the calculate button. Here is how the Area of Core given EMF Induced in Primary Winding calculation can be explained with given input values -> 2.5E+7 = 13.2/(4.44*500*20*0.0012).

FAQ

What is Area of Core given EMF Induced in Primary Winding?
Area of Core given EMF Induced in Primary Winding formula is defined as the amount of two-dimensional space taken up by an object. The magnitude of this induced emf can be found by using the following EMF equation of the transformer and is represented as Acore = E1/(4.44*f*N1*Bmax) or Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density). EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil, Supply Frequency means Induction motors are designed for a specific voltage per frequency ratio (V/Hz). The voltage is called the supply voltage and the frequency is called the 'Supply Frequency', The Number of Turns in Primary Winding is the number of turns primary winding is the winding of a transformer & Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.
How to calculate Area of Core given EMF Induced in Primary Winding?
Area of Core given EMF Induced in Primary Winding formula is defined as the amount of two-dimensional space taken up by an object. The magnitude of this induced emf can be found by using the following EMF equation of the transformer is calculated using Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density). To calculate Area of Core given EMF Induced in Primary Winding, you need EMF Induced in Primary (E1), Supply Frequency (f), Number of Turns in Primary (N1) & Maximum Flux Density (Bmax). With our tool, you need to enter the respective value for EMF Induced in Primary, Supply Frequency, Number of Turns in Primary & Maximum Flux Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area of Core?
In this formula, Area of Core uses EMF Induced in Primary, Supply Frequency, Number of Turns in Primary & Maximum Flux Density. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Core = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)
  • Area of Core = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)
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